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2 years ago

All squares are rectangles in if-then form

1 answer:

6 0

a square is when all sides are the same and a rectangle is just if it has four sides so a rectangle cant be called a square because not all sides are the same but a square can be called a rectangle because it has four sides. i don't know if that makes sense

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A dormitory has n students, all of whom like to gossip. one of the students hears a rumor, and tells it to one of the other n −

Alekssandra [29.7K]

Answer:

$P(r)=\frac{(n-3)(n-4)....(n-r)}{(n-2)^{r-2}}$

Step-by-step explanation:

From the question, we have the following condition:

$p_1=p_2=1,\:and\:p_n=0$

We know that each student who hears the rumor tells it to a student picked at random from the dormitory (excluding, of course, himself/herself and the person from whom he/she heard the rumor)

The 3rd student can therefore tell the rumour to n-2 students but only n-3 will accept it.

$\implies p(3)=\frac{n-3}{n-2}$

Consequently, the 4th student must not tell the 1st and second students.

$\implies p(4)=\frac{n-3}{n-2}\times \frac{n-4}{n-2}$

We can rewrite this to observe a pattern:

$\implies p(4)=\frac{(n-3)(n-4)}{(n-2)^2}$

$\implies p(4)=\frac{(n-3)(n-4)}{(n-2)^{4-2}}$

$\implies p(r)=\frac{(n-3)(n-4)(n-5)...(n-r)}{(n-2)^{r-2}}$

Hence, the probability that the rumor is told r times without coming back to a student who has already is:

$P(r)=\frac{(n-3)(n-4)....(n-r)}{(n-2)^{r-2}}$

See attachment for complete question

4 0

3 years ago

Write an equation for this graph please help me I'm begging u

bekas [8.4K]

First, solve for the slope. This can be found by looking at the y and x intercepts. At x = 0, y = 1.5. At x = 2, y = 0.

Slope is defined as Δy/Δx, or the change in y over the change in x. This means that in order to calculate the slope, you must find the difference between the values of y and divide it by the difference in the values of x for the two points to determine the slope between them.

(0 - 1.5)/(2-0) = (-1.5)/2 = -0.75 or -3/4

Now that you have the slope, we can write the equation in slope intercept form, y = mx + b, where m is the slope we calculated and b is the y intercept, 1.5.

y = (-3/4)x + 1.5

4 0

3 years ago

What is the slope of the line through ( − 5 , − 10 ) (−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and

nikdorinn [45]

Answer:

3.75

Step-by-step explanation:

We have to find the slope of a straight line through points (-5,-10) and (-1,5).

Now. we know the slope of a straight line through the points ( $x_{1},y_{1}$ ) and ( $x_{2},y_{2}$ ) is given by $[\frac{y_{2} - y_{1} }{x_{2} - x_{1}} ]$ .

So, in our case ( $x_{1},y_{1}$ ) ≡ (-5,-10) and ( $x_{2},y_{2}$ ) ≡ (-1,5).

Therefore, the slope of the line is $\frac{5 - (- 10)}{- 1 - (- 5)} = \frac{15}{4} = 3.75$ (Answer)

7 0

3 years ago

Ggfdgfhkjljhvgtygjhcddfffdddddhh

topjm [15]

Answer:

Let us first jot down all the data given in the question;

Number of low quality computers (LQ) = 72

Number of medium quality computers (MQ) = 112

Number of high quality computers (HQ) = 711

∴ Total number of computers found in a random sample = 72 + 112 + 711 = 895.

∴ To find the probability of purchase for each category of computers, we use the following formula;

So,

P(LQ) = 72/895 = 0.08

P(MQ) = 112/895 = 0.125

P(HQ) = 711/895 = 0.794

Ans) Probability of purchase of a low quality computer, a medium quality computer, and a high quality computer are 0.08, 0.125, and 0.794 respectively

A similar answer can be found here:-

https://www.brainly.com/question/7297949

3 0

3 years ago

Read 2 more answers

Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 111 liter of gas, to fill the go cart

djyliett [7]

Answer:

2 cans

Step-by-step explanation:

prism. You can use the following formula:

Where:

l: is the lenght.

w: is the width.

h: is the height.

In this case:

Substitute values into the formula. Then:

If a gas can holds 1 gallon of gas and , then the number of full gas cans that will take to fill the go cart's tank (whose volume is 462 in³) is:

8 0

3 years ago

Read 2 more answers

All squares are rectangles in if-then form​

All squares are rectangles in if-then form